Atkin-Lehner |
3+ 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
69825bb |
Isogeny class |
Conductor |
69825 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
846720 |
Modular degree for the optimal curve |
Δ |
-21949029432421875 = -1 · 33 · 58 · 78 · 192 |
Discriminant |
Eigenvalues |
2 3+ 5- 7+ 0 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-71458,-10216557] |
[a1,a2,a3,a4,a6] |
j |
-17920000/9747 |
j-invariant |
L |
2.5629844164344 |
L(r)(E,1)/r! |
Ω |
0.14238802347277 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69825bi1 69825cj1 |
Quadratic twists by: 5 -7 |